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233998319019520 = 29511217915592707
BaseRepresentation
bin110101001101000111111010…
…101011101110011000000000
31010200112000120011221212021101
4311031013322223232120000
5221132312024132111040
62145401202125304144
7100200551324641336
oct6515077253563000
91120460504855241
10233998319019520
1168617147843500
12222b2537705054
13a074c40179343
1441ad816d79b56
151c0bc7747a09a
hexd4d1faaee600

233998319019520 has 480 divisors, whose sum is σ = 620760806265600. Its totient is φ = 84529420124160.

The previous prime is 233998319019419. The next prime is 233998319019523. The reversal of 233998319019520 is 25910913899332.

233998319019520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2339983190195202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233998319019523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86441934007 + ... + 86441936713.

It is an arithmetic number, because the mean of its divisors is an integer number (1293251679720).

Almost surely, 2233998319019520 is an apocalyptic number.

233998319019520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233998319019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310380403132800).

233998319019520 is an abundant number, since it is smaller than the sum of its proper divisors (386762487246080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233998319019520 is a wasteful number, since it uses less digits than its factorization.

233998319019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 64.

The spelling of 233998319019520 in words is "two hundred thirty-three trillion, nine hundred ninety-eight billion, three hundred nineteen million, nineteen thousand, five hundred twenty".